A part of monthly hostel charges is fixed and the remaining depends on the number of days one has ta...........

Quantitative Aptitiude (CLAT) Average

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

300, 30

400, 40

200, 20

400, 30

Explanation:

Let fixed charge = Rs x
Variable charge = Rs y per day
When a student Atakes food for 20 days she has to pay Rs 1000 as hostel charges
So we get
X + 20 y = 1000 …(1)
Subtract 20 y both side we get
X = 1000 – 20 y …(2)
who takes food for 26 days, paysRs 1180 as hostel charges
we get
x + 26 y = 1180
plug the value of x we ge t

1000 – 20 y + 26y = 1180
6y = 180
Y = 180/6 = 30

Plug the value of y in equation second we get
X = 1000 – 20 * 30
X = 1000 – 600
X = 400
Hence fixed charge x = Rs 400
And variable charge y = Rs 30